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Questions about the properties of vector spaces and linear transformations, including linear systems in general.
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Eigenvalues and transpose
Please help me with the following question.
Let $F:\mathbb{R}^{k}\to\mathbb{R}^{k}$ be a continuously differentiable mapping;
$F_{n}(x)$ be $n$-th iteration of $F(x)$, i.e. $F_{1}(x)=F(x)$, $F_{n}(x …